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Schlagwörter:
Quantum Physics, quant-ph, Condensed Matter, Mesoscale and Nanoscale Physics, cond-mat.mes-hall, Condensed Matter, Quantum Gases, cond-mat.quant-gas,physics.app-ph, Physics, Optics, physics.optics
Zusammenfassung:
We introduce a general method to engineer arbitrary Hamiltonians in the Floquet phase space of a periodically driven oscillator, based on the non-commutative Fourier transformation (NcFT) technique. We establish the relationship between an arbitrary target Floquet Hamiltonian in phase space and the periodic driving potential in real space. We obtain analytical expressions for the driving potentials in real space that can generate novel Hamiltonians in phase space, e.g., rotational lattices and sharp-boundary well. Our protocol
can be realised in a range of experimental platforms for nonclassical states generation and bosonic quantum computation.
